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Formula:271

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Digital Library of Mathematical Functions ID 1.9.E26

∂ 2 ⁡ u ∂ ⁡ x 2 + ∂ 2 ⁡ u ∂ ⁡ y 2 = ∂ 2 ⁡ v ∂ ⁡ x 2 + ∂ 2 ⁡ v ∂ ⁡ y 2 = 0 , partial-derivative 𝑢 𝑥 2 partial-derivative 𝑢 𝑦 2 partial-derivative 𝑣 𝑥 2 partial-derivative 𝑣 𝑦 2 0 {\displaystyle{\displaystyle\frac{{\partial}^{2}u}{{\partial x}^{2}}+\frac{{% \partial}^{2}u}{{\partial y}^{2}}=\frac{{\partial}^{2}v}{{\partial x}^{2}}+% \frac{{\partial}^{2}v}{{\partial y}^{2}}=0,}}


Constraint(s)

Symbols List

  • ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}} : partial derivative of $$f$$ with respect to $$x$$
  • ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}} : partial differential of $$x$$
  • u ⁢ ( x , y ) 𝑢 𝑥 𝑦 {\displaystyle{\displaystyle u(x,y)}} : function
  • v ⁢ ( x , y ) 𝑣 𝑥 𝑦 {\displaystyle{\displaystyle v(x,y)}} : function
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This page was last edited on 28 January 2024, at 11:30.
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